Alec F. Litvin (Student section: 65A) CHEM 111 - Fall 2020 Main Menu Contents Grades Groups Course Contents ».. » Homework Set 7 » t25p53a 1O Timer In the upper atmosphere, ozone is produced from oxygen gas in the following reaction. 302(g) - 203(g) Calculate AS° for this reaction. Enter your answer in J/K and give 3 significant figures. -141 You are correct. Your receipt no. is 165-9191 Previous Tries Calculate AG° for ozone formation. (Enter your answer in k) and give 3 significant figures). 47 326 You are correct. Your receipt no. is 165-142 0 Previous Tries Calculate AH° for ozone formation. (Enter your answer in k) and give 3 significant figures). 285 You are correct. Your receipt no. is 165-5574 Previous Tries Assume an atmosphere where p(02) = 0.180 atm, and where T = 298 K. Below what pressure of O3 will ozone production be spontaneous? (Enter your answer in atm). 2.67e-32 Use the formula AG=AGo + RTINQ for this reaction, and plug in the known AGo, T and p(02) for an overall AG=0, and solve for p(O3). Be careful not to round off on your Submit Answer Incorrect. Tries 1/99 Previous Tries This discussion is closed.

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**Ozone Formation in the Upper Atmosphere: A Thermodynamic Analysis**

In the upper atmosphere, ozone (O₃) is produced from oxygen gas (O₂) via the following reaction:

\[ 3O_2(g) \rightarrow 2O_3(g) \]

---

### Thermodynamic Calculations

#### Calculate ΔS° for the Reaction
- **Value:** -141 J/K (rounded to 3 significant figures)
  
  *You are correct. Your receipt no. is 165-9191.*

#### Calculate ΔG° for Ozone Formation
- **Value:** 326 kJ (rounded to 3 significant figures)
  
  *You are correct. Your receipt no. is 165-142.*

#### Calculate ΔH° for Ozone Formation
- **Value:** 285 kJ (rounded to 3 significant figures)
  
  *You are correct. Your receipt no. is 165-5574.*

---

### Spontaneity of Ozone Production

Assume an atmosphere where the partial pressure of O₂, \( p(O_2) \), is 0.180 atm, and the temperature, \( T \), is 298 K. Calculate the pressure of O₃ at which ozone production will be spontaneous. Enter your answer in atm.

- **Calculated Value:** 2.67e-32 atm (Note: this answer is marked as incorrect.)

Use the formula:
\[ ΔG = ΔG° + RT \ln Q \]

- Plug in the known \( ΔG° \), \( T \), and \( p(O_2) \) for an overall \( ΔG = 0 \), and solve for \( p(O_3) \).

*Be careful not to round off on your calculations prematurely.*

---

**Note:** This discussion is closed.
Transcribed Image Text:**Ozone Formation in the Upper Atmosphere: A Thermodynamic Analysis** In the upper atmosphere, ozone (O₃) is produced from oxygen gas (O₂) via the following reaction: \[ 3O_2(g) \rightarrow 2O_3(g) \] --- ### Thermodynamic Calculations #### Calculate ΔS° for the Reaction - **Value:** -141 J/K (rounded to 3 significant figures) *You are correct. Your receipt no. is 165-9191.* #### Calculate ΔG° for Ozone Formation - **Value:** 326 kJ (rounded to 3 significant figures) *You are correct. Your receipt no. is 165-142.* #### Calculate ΔH° for Ozone Formation - **Value:** 285 kJ (rounded to 3 significant figures) *You are correct. Your receipt no. is 165-5574.* --- ### Spontaneity of Ozone Production Assume an atmosphere where the partial pressure of O₂, \( p(O_2) \), is 0.180 atm, and the temperature, \( T \), is 298 K. Calculate the pressure of O₃ at which ozone production will be spontaneous. Enter your answer in atm. - **Calculated Value:** 2.67e-32 atm (Note: this answer is marked as incorrect.) Use the formula: \[ ΔG = ΔG° + RT \ln Q \] - Plug in the known \( ΔG° \), \( T \), and \( p(O_2) \) for an overall \( ΔG = 0 \), and solve for \( p(O_3) \). *Be careful not to round off on your calculations prematurely.* --- **Note:** This discussion is closed.
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